Some qualitative properties of nonlinear fractional integro-differential equations of variable order

The existence-uniqueness criteria of nonlinear fractional integro-differential equations variable order with multiterm boundary value conditions are considered in this work. By utilizing the concepts generalized intervals combined piecewise constant functions, we transform our problem into usual Caputo’s differential order. We develop necessary for assuring solution's existence and uniqueness by applying Schauder Banach fixed point theorem. also examine stability derived solution Ulam-Hyers-Rassias (UHR) sense provide an example to demonstrate credibility results.